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144044331414329 is a prime number
BaseRepresentation
bin100000110000000111101111…
…001101001011001100111001
3200220000111121010022102110202
4200300013233031023030321
5122340010242320224304
61230205015145051545
742224600546065133
oct4060075715131471
9626014533272422
10144044331414329
1141995948945615
12141a490b186bb5
13624b425a59838
14277dad617c053
15119bdcc36a81e
hex8301ef34b339

144044331414329 has 2 divisors, whose sum is σ = 144044331414330. Its totient is φ = 144044331414328.

The previous prime is 144044331414257. The next prime is 144044331414337. The reversal of 144044331414329 is 923414133440441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142062084240400 + 1982247173929 = 11918980^2 + 1407923^2 .

It is a cyclic number.

It is not a de Polignac number, because 144044331414329 - 232 = 144040036447033 is a prime.

It is not a weakly prime, because it can be changed into another prime (144044331414629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72022165707164 + 72022165707165.

It is an arithmetic number, because the mean of its divisors is an integer number (72022165707165).

Almost surely, 2144044331414329 is an apocalyptic number.

It is an amenable number.

144044331414329 is a deficient number, since it is larger than the sum of its proper divisors (1).

144044331414329 is an equidigital number, since it uses as much as digits as its factorization.

144044331414329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1990656, while the sum is 47.

The spelling of 144044331414329 in words is "one hundred forty-four trillion, forty-four billion, three hundred thirty-one million, four hundred fourteen thousand, three hundred twenty-nine".